Book description
A unique primer on quantitative methods as applied to Islamic finance
Introductory Mathematics and Statistics for Islamic Finance + Website is a comprehensive guide to quantitative methods, specifically as applied within the realm of Islamic finance. With applications based on research, the book provides readers with the working knowledge of math and statistics required to understand Islamic finance theory and practice. The numerous worked examples give students with various backgrounds a uniform set of common tools for studying Islamic finance.
The indepth study of finance requires a strong foundation in quantitative methods. Without a good grasp of math, probability, and statistics, published theoretical and applied works in Islamic finance remain out of reach. Unlike a typical math text, this book guides students through only the methods that directly apply to Islamic finance, without wasting time on irrelevant techniques. Each chapter contains a detailed explanation of the topic at hand, followed by an example based on real situations encountered in Islamic finance. Topics include:
Algebra and matrices
Calculus and differential equations
Probability theory
Statistics
Written by leading experts on the subject, the book serves as a useful primer on the analysis methods and techniques students will encounter in published research, as well as daytoday operations in finance. Anyone aspiring to be successful in Islamic finance needs these skills, and Introductory Mathematics and Statistics for Islamic Finance + Website is a clear, concise, and highly relevant guide.
Table of contents
 Cover
 Title Page
 Copyright
 Dedication
 Preface
 Acknowledgments
 About the Authors

Part One: Mathematics
 Chapter 1: Elementary Mathematics
 Chapter 2: Functions and Models
 Chapter 3: Differentiation and Integration of Functions
 Chapter 4: Partial Derivatives
 Chapter 5: Logarithm, Exponential, and Trigonometric Functions
 Chapter 6: Linear Algebra
 Chapter 7: Differential Equations
 Chapter 8: Difference Equations
 Chapter 9: Optimization Theory
 Chapter 10: Linear Programming

Part Two: Statistics

Chapter 11: Introduction to Probability Theory: Axioms and Distributions
 The Empirical Background: The Sample Space and Events
 Definition of Probability
 Random Variable
 Techniques of Counting: Combinatorial Analysis
 Conditional Probability and Independence
 Probability Distribution of a Finite Random Variable
 Moments of a Probability Distribution
 Joint Distribution of Random Variables
 Chebyshev's Inequality and the Law of Large Numbers
 Summary
 Chapter 12: Probability Distributions and Moment Generating Functions
 Chapter 13: Sampling and Hypothesis Testing Theory
 Chapter 14: Regression Analysis

Chapter 15: Time Series Analysis
 Component Movements of a Time Series
 Stationary Time Series
 Characterizing Time Series: The Autocorrelation Function
 Linear Time Series Models
 Moving Average (MA) Linear Models
 Autoregressive (AR) Linear Models
 Mixed AutoregressiveMoving Average (Arma) Linear Models
 The Partial Autocorrelation Function
 Forecasting Based on Time Series
 Summary
 Chapter 16: Nonstationary Time Series and UnitRoot Testing
 Chapter 17: Vector Autoregressive Analysis (VAR)
 Chapter 18: CoIntegration: Theory and Applications
 Chapter 19: Modeling Volatility: ARCHGARCH Models
 Chapter 20: Asset Pricing under Uncertainty

Chapter 21: The ConsumptionBased Pricing Model
 Intertemporal Optimization and Implication to Asset Pricing
 AssetSpecific Pricing And Correction For Risk
 Relationship Between Expected Return and Beta
 The Mean Variance (mv) Frontier
 RiskNeutral Pricing Implied by the General Pricing Formula pt = Et(mt+1xt+1)
 ConsumptionBased Contingent Discount Factors
 Summary
 Chapter 22: Brownian Motion, RiskNeutral Processes, and the BlackScholes Model

Chapter 11: Introduction to Probability Theory: Axioms and Distributions
 References
 Index
 End User License Agreement
Product information
 Title: Introductory Mathematics and Statistics for Islamic Finance, + Website
 Author(s):
 Release date: August 2014
 Publisher(s): Wiley
 ISBN: 9781118779699
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